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(2007)quad 10.quad cos^(-1)(2x^(2)-1)...

(2007)quad 10.quad cos^(-1)(2x^(2)-1)

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2cos^(-1)x=cos^(-1)(2x^(2)-1)

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

cos^(-1).((2x)/(1+x^(2)))

If x in[-1,0], then find the value of cos^(-1)(2x^(2)-1)-2sin^(-1)x

What is the derivative of cos^(-1)(2x^(2)-1) if x in (-1,0).

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x